Banded Matrices and Discrete Sturm-Liouville Eigenvalue Problems

We consider eigenvalue problems for self-adjoint Sturm-Liouville difference equations of any even order. It is well known that such problems with Dirichlet boundary conditions can be transformed into an algebraic eigenvalue problem for a banded, real-symmetric matrix, and vice versa. In this article...

Full description

Bibliographic Details
Main Author: Werner Kratz
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/362627